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Finding the Third Proportional to 241,579 and 512,390

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Solution

The third proportional to 241,579 and 512,390 is: 1,086,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,579 : 512,390 = 512,390 : x
  2. Step 2: Convert to fraction form
    241,579/512,390 = 512,390/x
  3. Step 3: Cross multiply
    241,579x = 512,390 × 512,390
  4. Step 4: Simplify right side
    241,579x = 262,543,512,100
  5. Step 5: Solve for x
    x = 262,543,512,100/241,579
  6. Step 6: Final answer
    x = 1,086,781.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.